Harmonic Oscillator with Fluctuating Mass

• 作者: Moshe Gitterman
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: STOCHASTIC OSCILLATOR RANDOM MASS STABILITY
• 年，卷（期）: xdwlyw_2011,（10）
• 页码范围: 1136-1140
• 页数: 5页
• 分类号: O1

摘要

We generalize the previously considered cases of a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random damping. We consider here a random mass which corresponds to an oscillator where the particles of the surrounding medium adhere to the oscillator for some (random) time after collision, thereby changing the oscillator mass. Such a model is appropriate to chemical and biological solutions as well as to some nano-technological devices. The first moment and stability conditions for white and dichotomous noise are analyzed.